Abstract In the previous study, the gear meshing parameters are usually treated as constants, however, the translational motion, caused by bearing deformation, will lead to the variation of these parameters. In order to investigate the dynamic response of the GTF (Geared Turbofan engine) gearbox that more close to the actual working condition, the improved nonlinear dynamic model of GTF gearbox is proposed in this paper, in which the structure-based time-varying gear meshing parameters and multiple nonlinear clearances are fully considered, including time-varying mesh stiffness, pressure angles, contact ratios, position angles, and dynamic gear backlashes. Afterwards, the improved model is compared with the previous model, and their dynamic characteristics are demonstrated in time, and frequency domain. The results indicate that the nonlinear dynamic behaviors could be altered along with tooth impact state due to the time-varying meshing parameters, which could provide better understanding of the structural design and vibration control of the system.

中文翻译：

---

基于动态啮合参数的GTF齿轮箱星形齿轮系统改进非线性动力学模型的理论研究

摘要 在以往的研究中，齿轮啮合参数通常被视为常数，但轴承变形引起的平移运动会导致这些参数的变化。为了研究更接近实际工况的GTF（Geared Turbofan engine）齿轮箱的动态响应，本文提出了改进的GTF齿轮箱非线性动力学模型，其中基于结构的时变齿轮啮合充分考虑了参数和多个非线性间隙，包括时变啮合刚度、压力角、接触比、位置角和动态齿轮间隙。之后，将改进后的模型与之前的模型进行比较，并在时域和频域上展示了它们的动态特性。